Theorems · Theorem · commutative algebra
HahnModule.of_symm_add
∀ {Γ : Type u_1} {R : Type u_3} {V : Type u_5} [inst : PartialOrder Γ] [inst_1 : SMul R V] [inst_2 : AddCommMonoid V]
(x y : HahnModule Γ R V), (HahnModule.of R).symm (x + y) = (HahnModule.of R).symm x + (HahnModule.of R).symm y- Cited by
- 2 results in Mathlib
- Foundations
- Depth 99 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- AddCommMonoidstatement and proof · cited by 12,281
- Equivstatement · cited by 8,337
- PartialOrderstatement and proof · cited by 6,410
- Equiv.symmstatement · cited by 3,681
- HahnSeriesstatement · cited by 528
- HahnModulestatement and proof · cited by 51
- HahnModule.ofstatement · cited by 43
Cited by2
Results whose statement or proof uses this declaration.
- HahnModule.smul_addproof · cited by 0
- HahnModule.add_smulproof · cited by 0